Question

the circumference of a circular garden is approximately 32 feet. what is the approximate area inside the garden? then, enter your answer on paper. solve the problem. learn. remember, you can use 3.14 as an approximation for π. consider writing your answer to the hundredths place. the area inside the garden is approximately square feet

Explanation:

Step1: Recall the circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is the circumference and $r$ is the radius. Given $C\approx32$ feet and $\pi\approx3.14$. We can solve for $r$: $r=\frac{C}{2\pi}$.

Step2: Calculate the radius

Substitute $C = 32$ and $\pi=3.14$ into the formula for $r$: $r=\frac{32}{2\times3.14}=\frac{32}{6.28}\approx5.1$ feet.

Step3: Recall the area - formula

The formula for the area of a circle is $A=\pi r^{2}$.

Step4: Calculate the area

Substitute $r\approx5.1$ and $\pi = 3.14$ into the area formula: $A=3.14\times(5.1)^{2}=3.14\times26.01\approx81.7$ square feet.

Answer:

81.7